Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)

Published by Pearson
ISBN 10: 0133942651
ISBN 13: 978-0-13394-265-1

Chapter 26 - Potential and Field - Exercises and Problems - Page 738: 15


(a) $E_x = 27~V/m$ (b) $E_x = 3.7~V/m$

Work Step by Step

(a) $V = 100~e^{-2x}~V$ $\frac{dV}{dx} = -200~e^{-2x}~V/m$ We can find $E_x$: $E_x = -\frac{dV}{dx}$ $E_x = -(-200~e^{-2x})~V/m$ $E_x = 200~e^{(-2)(1.0)}~V/m$ $E_x = 27~V/m$ (b) We can find $E_x$: $E_x = -\frac{dV}{dx}$ $E_x = -(-200~e^{-2x})~V/m$ $E_x = 200~e^{(-2)(2.0)}~V/m$ $E_x = 3.7~V/m$
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